The \(\mathbb{F}_2\)-cohomology rings of \(\mathbb{S}ol^3\)-manifolds

Authors

  • J. A. Hillman University of Sydney

Keywords:

Borsuk-Ulam Theorem, cohomology, $\mathbb{S}ol^3$-manifold

Abstract

We compute the rings \(H^*(N;\mathbb{F}_2)\) for \(N\) a closed \(\mathbb{S}ol^3\)-manifold, and then determine the Borsuk-Ulam indices \(BU(N,\phi)\) with \(\phi\not=0\) in \(H^1(N;\mathbb{F}_2)\). 10.1017/S0004972713000877

Author Biography

J. A. Hillman, University of Sydney

Honorary Reader

Published

2014-01-27

Issue

Vol. 89 No. 2 (2014)

Section

Articles
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